Respuesta :
The average rate of the function is 4.
What is average rate of function?
The average rate of change of a function f(x) over an interval [a, b] is defined as the ratio of "change in the function values" to the "change in the endpoints of the interval". i.e., the average rate of change can be calculated using [f(b) - f(a)] / (b - a). In other words, the average rate of change (which is denoted by A(x)) is the "ratio of change in outputs to change in inputs". i.e.,
A(x) = (change in outputs) / (change in inputs)
= Δy / Δx
= [f(b) - f(a)] / (b - a)
given function:
f(x) = -x² + 6x + 12
Now,
let a= -3, b = 5
and, f(b)= -(5*5) + 6*5 + 12
=-25+ 30 +12
= 17
f(a) = -(- 3 * (-3))+6(-3) +12
= -9-18+12
= -15
Now,
f(b)- f(a) / (b-a)
=17 -(-15))/5-(-3)
=32/ 8
=4
Learn more about rate of change here:
https://brainly.com/question/23715190
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